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\begin{equation*}
f(x)g(x)=\left[\sum_{n=0}^{\infty} a_n(x-x_0)^n\right]\left[\sum_{n=0}^{\infty} b_n(x-x_0)^n\right]=\sum_{n=0}^{\infty} d_n(x-x_0)^n,
\end{equation*}
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<p class="continuation">where <span class="process-math">\(d_n=a_0b_n+a_1b_{n-1}+\cdots+a_nb_0\text{.}\)</span></p>
<span class="incontext"><a href="sec5_1.html#p-198" class="internal">in-context</a></span>
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